What is 70/27 Divided By 1/6

Solving $\frac{70}{27}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{27} \div \frac{1}{6} = \frac{70}{27} \times \frac{6}{1}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $27 \times 1 = 27$
• Form the New Fraction: $\frac{70}{27} \times \frac{1}{6} = \frac{420}{27}$

Let's Simplify $\frac{420}{27}$

• Find the Greatest Common Divisor (GCD) of $420$ and $27$. The GCD of $420$ and $27$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 3}{27 \div 3} = \frac{140}{9}$

Answer $\frac{70}{27}\div\frac{1}{6} = \frac{140}{9}$

The following animation demonstrates the divide-by,